A cone has its tip at the point $(0,0,9)$ and its base the disk $D,x^2+y^{2}1,$ in the plane $z=1.$ The surface of the cone is the curved and slanted face, $S,$ oriented upward, and the flat base, $D,$ oriented downward. The flux of the constant vector field vec$(F)=$avec$(i)+$bvec$(j)+$cvec$(k)$ through $S$ is given by

${}_S$vec$(F)*dvec(S)=2\mathrm{.}13$

What is ${}_D$vec$(F)*dvec(S)?$

${}_D$vec$(F)*dvec(S)=$

$($Enter indeterminate if it is not possible to find a value given the information provided.$)$

Supposed we instead consider the vector field vec$(F)=$avec$(i)+$bvec$(j)+$czvec$(k).$ If we again know

${}_S$vec$(F)*dvec(S)=2\mathrm{.}13$

What is ${}_D$vec$(F)*dvec(S)$ in this case?

${}_D$vec$(F)*dvec(S)=$

$($Again$,$ enter indeterminate if it is not possible to find a value given the information provided.$)$